A wrecking ball swings at the end of a 14.4-m cable on a vertical circular arc. The crane operator manages to give the ball a speed of 13.5 m/s as the ball passes through the lowest point of its swing and then gives the ball no further assistance. Friction and air resistance are negligible. What speed v/ does the ball have when the cable makes an angle of 14.5 ° with respect to the vertical? Number i Units
A wrecking ball swings at the end of a 14.4-m cable on a vertical circular arc. The crane operator manages to give the ball a speed of 13.5 m/s as the ball passes through the lowest point of its swing and then gives the ball no further assistance. Friction and air resistance are negligible. What speed v/ does the ball have when the cable makes an angle of 14.5 ° with respect to the vertical? Number i Units
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:**Topic: Physics Problem - Circular Motion of a Wrecking Ball**
**Problem Statement:**
A wrecking ball swings at the end of a 14.4-meter cable on a vertical circular arc. The crane operator manages to give the ball a speed of 13.5 meters per second (m/s) as the ball passes through the lowest point of its swing and then gives the ball no further assistance. Friction and air resistance are negligible. What speed \( v_f \) does the ball have when the cable makes an angle of 14.5 degrees with respect to the vertical?
**Calculation Input:**
- Length of cable: 14.4 meters
- Initial speed at the lowest point: 13.5 m/s
- Angle with respect to the vertical: 14.5 degrees
**Answer:**
| Number | Units |
|------------|------------|
| | |
**Explanation:**
To solve this problem, students should use principles from the conservation of mechanical energy, considering the kinetic and potential energies of the system.
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